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Finding the Fourth Proportional to 783.06, 1,174.77 and 235.32

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Solution

The fourth proportional to 783.06, 1,174.77 and 235.32 is: 353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,174.77 = 235.32 : x
  2. Step 2: Convert to fraction form
    783.06/1,174.77 = 235.32/x
  3. Step 3: Cross multiply
    783.06x = 1,174.77 × 235.32
  4. Step 4: Simplify right side
    783.06x = 276,446.88
  5. Step 5: Solve for x
    x = 276,446.88/783.06
  6. Step 6: Final answer
    x = 353.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.